We introduce a class of Higgsbranch RG flows in theories of classS, which flow between d = 4 N = 2 SCFTs of the same ADE type. We discuss two applications of this class of RG flows: 1) determining the currentalgebra levels in SCFTs where they were previously unknown — a program we carry out for the classS theories of type E6 and E7 — and 2) constructing a multitude of examples of pairs of N = 2 SCFTs whose “conventional invariants” coincide. We disprove the conjecture of [1] that the global form of the flavour symmetry group is a reliable diagnostic for determining when two such theories are isomorphic.
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Distinguishing d = 4 N = 2 SCFTs
We construct a family of examples of pairs of 4d N = 2 SCFTs whose graded Coulomb branch dimensions, Weylanomaly coefficients and flavour symmetry algebras and levels coincide, but which are nonetheless distinct SCFTs. The difference (detectable by the superconformal index) can occur at arbitrarily high order. We argue that it is, however, reflected in a difference in the global form of the flavour symmetry groups.
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 Award ID(s):
 1914679
 NSFPAR ID:
 10339043
 Date Published:
 Journal Name:
 ArXivorg
 ISSN:
 23318422
 Format(s):
 Medium: X
 Sponsoring Org:
 National Science Foundation
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